Gce Model Questions Vol1 2024 Biology Question 12

Practice objective / multiple choice question 12 from the 2024 Gce Model Questions Vol1 Biology examination.

Gce Model Questions Vol1 2024 Biology Objective / Multiple Choice Hard Difficulty
Question 12 GCE_MODEL_QUESTIONS_VOL1 • 2024 • BIOLOGY • objective

Two plant species A and B compete in a meadow. Their dynamics are described by\n\[\frac{dN_A}{dt}= r_A N_A\Bigl(1-\frac{N_A+\alpha N_B}{K_A}\Bigr),\qquad\frac{dN_B}{dt}= r_B N_B\Bigl(1-\frac{N_B+\beta N_A}{K_B}\Bigr).\]\nGiven \(r_A = 0.4\ \text{month}^{-1},\ K_A = 5000,\ r_B = 0.3\ \text{month}^{-1},\ K_B = 4000,\ \alpha = 0.5,\ \beta = 0.8\). A herbivore reduces the intrinsic growth rate of species A by 20 % (so the effective \(r_A\) becomes 0.32). Assuming the system reaches equilibrium (\(dN_A/dt = dN_B/dt = 0\)), what are the equilibrium population sizes \(N_A^*\) and \(N_B^*\) (in individuals)?

Answer Options

Correct Answer A. 5000, 0
B. 4000, 1000
C. 2500, 2500
D. 0, 4000
Correct Answer
A
Correct Option:
5000, 0

About This Question

This is Gce Model Questions Vol1 2024 Biology Question 12. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Biology examination.

Difficulty level: Hard .

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